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Finding the Third Proportional to 256,283.50 and 561,929.50

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Solution

The third proportional to 256,283.50 and 561,929.50 is: 1,232,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,283.50 : 561,929.50 = 561,929.50 : x
  2. Step 2: Convert to fraction form
    256,283.50/561,929.50 = 561,929.50/x
  3. Step 3: Cross multiply
    256,283.50x = 561,929.50 × 561,929.50
  4. Step 4: Simplify right side
    256,283.50x = 315,764,762,970.25
  5. Step 5: Solve for x
    x = 315,764,762,970.25/256,283.50
  6. Step 6: Final answer
    x = 1,232,091.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.